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Finding the Fourth Proportional to 734.19, 1,101.36 and 186.38

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Solution

The fourth proportional to 734.19, 1,101.36 and 186.38 is: 279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.19 : 1,101.36 = 186.38 : x
  2. Step 2: Convert to fraction form
    734.19/1,101.36 = 186.38/x
  3. Step 3: Cross multiply
    734.19x = 1,101.36 × 186.38
  4. Step 4: Simplify right side
    734.19x = 205,271.48
  5. Step 5: Solve for x
    x = 205,271.48/734.19
  6. Step 6: Final answer
    x = 279.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.